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Finding the Fourth Proportional to 6,934.50, 10,400.22 and 3,234.78

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Solution

The fourth proportional to 6,934.50, 10,400.22 and 3,234.78 is: 4,851.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934.50 : 10,400.22 = 3,234.78 : x
  2. Step 2: Convert to fraction form
    6,934.50/10,400.22 = 3,234.78/x
  3. Step 3: Cross multiply
    6,934.50x = 10,400.22 × 3,234.78
  4. Step 4: Simplify right side
    6,934.50x = 33,642,423.65
  5. Step 5: Solve for x
    x = 33,642,423.65/6,934.50
  6. Step 6: Final answer
    x = 4,851.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.